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Model order determination of ECG signals using rational function approximations

机译:使用有理函数逼近确定ECG信号的模型阶数

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摘要

In this paper. a new pole zero order determination procedure is proposed for ECG signals. The method is based upon the singular value decomposition of the reduced rank approximation of the data matrix obtained by linear filtering of the DCTA coefficients of the ECG signal. The energy characteristics of the reduced rank components are found to be highly order dependent. In this paper, we have made use of this property to identify the order of the underlying model. This NMSE of the waveforms reconstructed with the orders estimated using the proposed method are found to be lower than those obtained using statistical methods such as the AIC.
机译:在本文中。提出了一种新的极点零阶确定程序。该方法基于通过对ECG信号的DCTA系数进行线性滤波而获得的数据矩阵的降秩近似的奇异值分解。发现降低秩的分量的能量特性高度依赖于阶。在本文中,我们利用此属性来确定基础模型的顺序。发现使用本方法估计的阶次重建的波形的NMSE低于使用统计方法(例如AIC)获得的NMSE。

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